Linear Algebra and Its Applications (5th Edition)

by Lay, David C.; Lay, Steven R.; McDonald, Judi J.

Published by Pearson

ISBN 10: 032198238X

ISBN 13: 978-0-32198-238-4

Chapter 3 - Determinants - 3.1 Exercises - Page 170: 11

Answer

$-18$

Work Step by Step

We apply Theorem 2, which states that the determinant of a triangular matrix equals the product of the entries along the principal diagonal. Hence, $\det A=3\cdot(-2)\cdot1\cdot3=-18$.

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